{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import theano\n",
    "\n",
    "import pymc3 as pm\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data was downloaded from https://www.kaggle.com/camnugent/sandp500"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Date</th>\n",
       "      <th>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Volume</th>\n",
       "      <th>Name</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2012-08-13</td>\n",
       "      <td>92.29</td>\n",
       "      <td>92.59</td>\n",
       "      <td>91.74</td>\n",
       "      <td>92.40</td>\n",
       "      <td>2075391.0</td>\n",
       "      <td>MMM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2012-08-14</td>\n",
       "      <td>92.36</td>\n",
       "      <td>92.50</td>\n",
       "      <td>92.01</td>\n",
       "      <td>92.30</td>\n",
       "      <td>1843476.0</td>\n",
       "      <td>MMM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2012-08-15</td>\n",
       "      <td>92.00</td>\n",
       "      <td>92.74</td>\n",
       "      <td>91.94</td>\n",
       "      <td>92.54</td>\n",
       "      <td>1983395.0</td>\n",
       "      <td>MMM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2012-08-16</td>\n",
       "      <td>92.75</td>\n",
       "      <td>93.87</td>\n",
       "      <td>92.21</td>\n",
       "      <td>93.74</td>\n",
       "      <td>3395145.0</td>\n",
       "      <td>MMM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2012-08-17</td>\n",
       "      <td>93.93</td>\n",
       "      <td>94.30</td>\n",
       "      <td>93.59</td>\n",
       "      <td>94.24</td>\n",
       "      <td>3069513.0</td>\n",
       "      <td>MMM</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         Date   Open   High    Low  Close     Volume Name\n",
       "0  2012-08-13  92.29  92.59  91.74  92.40  2075391.0  MMM\n",
       "1  2012-08-14  92.36  92.50  92.01  92.30  1843476.0  MMM\n",
       "2  2012-08-15  92.00  92.74  91.94  92.54  1983395.0  MMM\n",
       "3  2012-08-16  92.75  93.87  92.21  93.74  3395145.0  MMM\n",
       "4  2012-08-17  93.93  94.30  93.59  94.24  3069513.0  MMM"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('../data/all_stocks_5yr.csv.zip', compression='zip')\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6290, 3)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stocks = ['MSFT', 'AAPL', 'GOOG', 'NEM', 'ALB']\n",
    "df_stocks = df.loc[df.Name.isin(stocks), ['Date', 'Close', 'Name']]\n",
    "df_stocks.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>Name</th>\n",
       "      <th>AAPL</th>\n",
       "      <th>ALB</th>\n",
       "      <th>GOOG</th>\n",
       "      <th>MSFT</th>\n",
       "      <th>NEM</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2012-08-13</th>\n",
       "      <td>90.00</td>\n",
       "      <td>61.07</td>\n",
       "      <td>329.67</td>\n",
       "      <td>30.39</td>\n",
       "      <td>46.92</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-08-14</th>\n",
       "      <td>90.24</td>\n",
       "      <td>60.44</td>\n",
       "      <td>334.00</td>\n",
       "      <td>30.13</td>\n",
       "      <td>46.34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-08-15</th>\n",
       "      <td>90.12</td>\n",
       "      <td>60.87</td>\n",
       "      <td>333.44</td>\n",
       "      <td>30.20</td>\n",
       "      <td>46.63</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-08-16</th>\n",
       "      <td>90.91</td>\n",
       "      <td>61.20</td>\n",
       "      <td>336.10</td>\n",
       "      <td>30.78</td>\n",
       "      <td>47.59</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-08-17</th>\n",
       "      <td>92.59</td>\n",
       "      <td>61.31</td>\n",
       "      <td>338.23</td>\n",
       "      <td>30.90</td>\n",
       "      <td>47.16</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Name         AAPL    ALB    GOOG   MSFT    NEM\n",
       "Date                                          \n",
       "2012-08-13  90.00  61.07  329.67  30.39  46.92\n",
       "2012-08-14  90.24  60.44  334.00  30.13  46.34\n",
       "2012-08-15  90.12  60.87  333.44  30.20  46.63\n",
       "2012-08-16  90.91  61.20  336.10  30.78  47.59\n",
       "2012-08-17  92.59  61.31  338.23  30.90  47.16"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_stocks = df_stocks.pivot(index='Date', columns='Name', values='Close')\n",
    "df_stocks.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Bg9UxTSGEEEKIGqVX9cRlxuFq61rTU6k0tXvl+TYrxFUhISGBv/76i5MnT6IoCvn5+SiK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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10335e748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_stocks.plot(figsize=(12, 5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "y_mean = df_stocks.mean()\n",
    "y_std = df_stocks.std()\n",
    "df_stocks = (df_stocks - y_mean) / y_std"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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K+XucXW5y+5n38Jfc9dbmdtv8paUAvNusBdMpHQTMuoQEhjzzNGNWrcQ8uuMy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ChQt56KGHcHNzY/LkyTz88MMU6BG3SktLKSqyH672UmlyFmZZWEjae/MBSHrhBXLW/kHuho1Q\n6W2hJCkJQ2AAEQsW4BwZScH+/Zy47XZyVq3C5447GmPoNWK7YEsIgYvRUKtLxiO/P8Ke1D28N+Q9\n2vu257147cfWs0W5P48QgpnXzOTNbW9yV8e7SMhKYH78fGuij90pu0nNTyXAteKikwOPT8U2emu0\nv52Ypk2AvYnaQ6pbWPlClrIFd7tOZ4Aw0+re8bRv7QcLt5GRX74g6z+/HmLJzkSeH9OZfm0DuOWd\nDQzuFESYrxubjqdhMjjx3OjOl/eAFM2a/ne0JTUxhyybbHy7V2trEjxsEh0J3RTh5CQwORusi/tc\nPZ0rKHyHNpeHlrz5ofIX4Wrp9zfNN9VR6Z6bEdlp2jn/+qWtTJt/Qy17Q1ZGKduypzMgJ+OiH3SF\na94FXq5Q5uJmtEY96TmsFQaTE+Gd/LR7vEDb5m6TsbbrWCqTn12Ek0HgbDaCayBC6OHl0KzJaYk5\nHNuRwjWjoigpsrBnjfYbKwzoCQ+sg8CO1qgduRnncfdxqdKHQtFUEELw/fff89hjj/Haa68RGBiI\nu7s7r776KiEhISxatIi//vWvZGdnI6Vk+vTpjBqlhX0dPXo0iYmJ9OvXDyEEnp6eLFq0iJAQzdD1\n4osv8s9//pMuXbrg6emJq6srEydOpGVLx7syNjmFufDIUYiMJPTt/5L4t0fIXbsO4eqKzC9/QAXN\neAL3/v1xadcOYdQOwaVTJ0zh4WT+9HOTVJgr42x0qtXCXOavPHXlVGvZ7e1ur6Awg+Z3/NmIz6zf\nvZ29eXXrq9bvK0+uZExpVwze3pxyLyAhK4FCmUVrIHbqLAbyJ218mqa1KimrEB83Ex42CyS7hXnz\nwIDWZOQVs/5oKmN7hpGlT3Fm5JW/WZYpz//UM/cBfL/rrPXzc6OiCbbjW65QVIdXgCs3TOjI92/u\nrLLNzbvcOuzupSkwRueKsyaunlUtyB6+Lgy8u44JcIS4KpVlgNzM8mvbYpG1Ro3Z/MNxjuQOJPzU\nRi4qjlBhNhf09XwxN4QT/7s2EzD8wa5W+Xe9PqzCwkwXV12ZtvUfNpTfu0qKS/li9hayUvLx9Ddb\n054bTOXuJsWFpSx+bTslRRa6DAxl6Xt7uHBWW1Sal1UEIRVfrHIyCmnRB97sAgAAIABJREFU6vIs\nelIoLpaQkBC+/PJLu9sGDBjA1q1bq607depUpk6danebyWTilVde4ZVXXnHIOGuiySnMADg54Tl4\nMEEzniD5jf/Q+qcfSf/8f+SsWYNr9+54jR6NKahialohBL7jx5P82mucmjSJiI8/JvfPLbi0aY0x\noGrCh8ZgzYxB6EYEXIxOFBZX9bHJKcrh90Pn8PQ+V2VblHcU/+r7r1r7GdVmFN8d/Y7Hez7Oa1tf\nY3nCcmKm/5tSAeOf1kT+fg4UDruWPoMn0IcJl3RcDUlabiH+lfyLXYwGZo3ohNRNMkIIjqVoyUcy\nbSzMtp/tMa6XYxcEKK4OPP3sv2TZKnC9RkXh7uNC6+6BFfZx89L8TI0uBpxdDORlFRF9bUsiuzaN\ne1RzIT+ryK5VNf18LqlncmgX18Jqsk1NM9euMEuphYGLHFCu4KYeJqlYS5LS/aYIfEPckBJC2/sy\n+T/Xcf54ZpUoJpr1uVh7sRkzTwsFB0iLRDgJstMKrLMTBmO5R2SfMW1Y/42W6rwgt9iqPCedyCI5\nIQvvIFeKCkrJTS+s0J+Uktz0QjxiK/7OFAqF42lyCrPB34+ITz5BODnhN3kyPmPHYvD2psXMp2gx\n86ka6/rd8xdy1qwhd+MmLny2iKQXX8QQEEDUV19iCg2tsW7awoUYvH3wufUWRx5OBSIDyp0gnI1O\nFNnJ+jV56ePsz9yEE0ba+rTl/Rvfx93kzteHviY2KLZOfmreLt4sHq052A9LGcb/Nmi+3wZdW3cu\nlvjkgqFVlAOOqmFJzSnC38P+dKPtufB105TqDJukEhdyi2gd6E63UG+rZXn9zOv5YddZTAaBm3OT\n+/krmgHuvhV/jz2HtaJNj4ov8CZnAzGDq76QuXlpv1PvAFc8/c0k7E4lIOzqtBjXl5vu78zm74+R\nlVpATnqhXYV58WvbKcwroXVsINkXNJ/GtOw6WF+Pr4bPboVBf4dBehSB5IMkFnXG29+Iu48Lna8r\nf4aY3U12X3Jc3EwU5pVoq/i73wPAuWOZLHl9O10HhnLmULk/dYFNivWYweF4+LmwfMFezh0t95Uu\nW1w64M72bPn5BDkZFRXmgtxiSkssVX6TCoXC8TS5RX+mkBDce2tB6YUQGLzrHhpHODvT8lXNLJ+k\np0YsTU0l6fU3kFKSvWoV559/gYL9+611LAUFpH30McmvvMq5WbMceCQ1o1mYNYX5TPYZZq2bRUpe\nCvszNwHgbYjgjYFvEOgWiJvJjf/X5f8RGxRb736GRg4l6ry0fu8R1INA/X7sHXlxCU8uJxdyiwio\nbSEU4GXWlN8fdiUipSQzv5gTqblc2zaAOXfGEhPmzfNjOhPm68a069syZUDTdEFRNH0MNjGxb3m8\nO73HtCYwom5T4t5Bmv+9pdTC0Ps7M3hiJyK6+NdSSwHQLq4Fwx7QQqv98m48Foussk+Zb/H8h9dw\n/rgWr7qgqA4RcE5u1P6ftkkzk3KQ1JI2BLepe8QJFzcjJ/em8e7U1az/9ghSSo5uTwJgzx+JpJ8v\nj5nvHehaoa5Zj7+99ecTVdoNbuONh6+Lln4bbWFhaanF+t1DKcwKRYNzxZnYTCEheA4dSvavv7L1\nP/cS/tM2nDZtImvpUs4+ocUazt2wgTbLlwGQ9fPPJL/+urW+LCmx+kU3JC5GA3lF2s19zvY5/Hby\nN34+/jNIQW7Cw/SO6u4Qv+LWPq0Z7tQN0FagLhy2kIkbtWlCz1ZtL7n9huDg+SxyC0vp2cqXtJxC\n/FvXrlCUJfbYcSqDTcfSmP2z9lLk42pCCMEPD1/boGNWXF0Mf7Arrh4mQtrWL6tahz7BnD5wgaiY\nAIzOBjr2bXoRWpoyZYphfnYx7z20mh5DI+h7a/l9zMkgsJSWK9IGp1Lyi3UXmozT4BUKTnbsRMdW\na/9Pb7Gm0rYkHya3dCCeAXUPtensWv7siF95mqTjmVbF3ZYh90UT1rFioiUXd01hzkzJp2U7H0Y8\n1I3Vnx0kuLUXzmYjHj5mTu67QGF+CQtnbiBmcDihHbQ2bBecKhSKhqHJWZgdQfJTdzP775G8nvo/\nvvA+iCUzk7NPzECYzfiMv4uikyex6IsIC09ob/PBeirFopMnL8sYbV0yii3lU3MFSSOxFISy7kgq\nc1Ycdkhf1xvKI2CUpKQQk6dNJTpHNE0f3mFvreP29zaSkJpLel5xvWMkbz+ZzsHzWiSCfDt+4grF\npdI6NrDeyjJo1umh93ehfa/gBhjVlY/Z3YSnf7lyeGRbcoXtLm4VjR1twi5QUOoB2z6Bt7rAt/dV\nbTQ/Hc7ugPbDoSgb5l8HKYfJPXcOiVO9rLeV3UTKlGU3b+cKY2t/TYsq/s8+LVxp0yOIDr2DuXFS\nNC6uRoZN6ULskAhr2yWFpXz4mBZq9MzBdHL1pCUefsrCrFA0NFeUwlxqKeWlP19i4srJ7JVnCHIN\nIr6jC4W6wuU7awY/eZ0AKa2KcfGp0zhHRVkTnpyZ9jClGRnV9uEoLIZU0gzL+XDPh2w5r6XIdTV4\nUpzejw/vjaNXpB9zVx3hfGZBLS3ZtGmRvPjLfp77cR8Wi4XslSspSU+nKCHBus/RAQMZ8Yv2kDH4\nV7XcJmUVcMu8DRxNrmOsUweTlFV+vIPeWANAqK9rNXtX5H/3azL8abfmr9zS28xfB9SSOU2hUDQb\nhBCM+3sv6/fstALOHin3Cy5bLOdkFEz+z3X4+kORdKf0z4WcKexC8bFNVdrM++Njll2YQU6PJ+Ge\nJZB5CuL/Z+PuUHfr7TU3R3H7zJ7ccG/HCuWdrwtl8n+uo99tbYmKCbC7FsVoMjBsSheG3Bdtt8/K\nirtPkCs56YU4OQm70VcUiqaEEIIJE8oDDJSUlBAYGMjIkSMBSEpKYuTIkcTExBAdHc2IESMASEhI\nwNXVldjYWOvfggULrJ+dnZ3p2rUrsbGxPP300w16DFeMS0Zqfir3LL2HxJxEXI2uDIkYwiM9HmH2\nptk8fu9a2p11osRrJUknt3EdUHT8OOaOHSk6cwZTRDjOkZF4Dh9G9rLlZC1bhu/48Q063jMsIcd9\nM3N3gKvRjRf6v8CS9b5kGHO5oWMQ4X5uDH1rLRM/3sLy6dfVabHfhmOpfLDuBKbSYkb/OA/X9aut\n28wx3bBk51B0XMtW5da7d5U2Dydlc9MczXrx0foTvHxbHeLCOpjVBzVl/sGBbZj/xzEAWge411TF\nSr+2AQzvEsyyvVps2/fvjSPIU01VKhRXEmZ3E9HXtiSkrTebvz/Ojt9O0bKdLznphRQXltLnltZ0\nHRSGs9mIWb/+TyWaWZo+E//sBO6ylIKTHu6vuIA9q09xvHAMrtvdGfSXnmA0Q+J2ckq1mbj6WJjN\nHiaCPbwJjvImvJMfqxcd5NS+C3j6mRFC0P2mCLpXn/y6Riov7CstleRkFOLm41xriD2ForFxd3dn\n79695Ofn4+rqyooVKwi1Ccbw7LPPcuONN/Loo48CsHv3buu2Nm3aWBOblPHAAw8AEBkZyerVqwm4\nDNHQrhgL87oz60jMSeTe6HvZ8pctvHTdSwS7B9M7pDcpPoKN0U5sSd5Goj9YjE4UHDigWV+PHsWl\nreYDF/rmmxgCAsjfFe+QMUkpKbYUk5CZwCtbXiEhMwHQLOEXLHsRBa2RSXcjTr5Ayrmu/HEwm3Bf\nV5ycBO1beBAb7sOhpGzO2liZS3NySX5zDsVJSdayC7lFvPPdNk58sJB26acZe2S1VVl28vbGGBSE\n/8SJRH79FS1fe5UO8buIWPgJlfnzeFr5+TySSkJqrkPOQ334bX8SoT6uzBxWHpc2so4KM0C4n+Zv\naDY50TFYxSZVKK5Err+nIx37hBAc5UVmsuZet31ZAgChHXy1hCCAq4927ziRr8WuTyuJJDfJxo0j\nYT1n87S1IqcPXKAgt5gLoh2c3kqeRXO5qew6UVc8fM146C4aLq6XbpvyC3HH089MZFd/Qjv4UJhb\nTE56ofJfVjQbhg8fzi+//ALAF198wXgbw+S5c+cICwuzfu/W7fIb7GrjirEw70zeibeLN0/EPVGh\n/PZ2t+NscMbd5M6C+AWcyj5FXrg/aR98iCy1IIuL8R49BtCmDFy7dSN/716HjGnJkSU8t+k56/ej\nGUf58KYPScpLopgcCtJvIuRUEJmeObzwywEA/j26ixZbc+1anjWe4uXz59lwtBsju4Xg5mwk+bXX\nyPj6a9Lef5+w997FydWNo/9+mbjEM3gX5VI2Wbm/wzXc/sOnVcbkbZOvvTKHk3LwNBt54sb2PPfT\nfga9sYYTL4+oYImWUvLb/iTCfd3oEOyJwYGWjQc/287vB5OZdn0bhBD0ivRla0J6lTjMNRGmu2+0\n8nO3LgRUKBRXJl4BrpzYk4q0SC6cyyWkjWbdLcMjpAWQwtGC8vTTp/eco6OeJYzsc2RbtBjGWakF\nLHljB+nnZjMxcDL50hvhVNUvuj70vbUtbt4utOp26ZFQzO4m7n1JO47l7+/h2I4UANr2DKqpmkJR\ngfMvvUThgYMObdOlU0eC//73Wve76667mD17NiNHjmT37t1MmjSJdevWAVqK7DvvvJN33nmHIUOG\ncN9991mz9R07dozYWC1KWP/+/Zk3b55Dx19XrgiF+Y/Tf/DT8Z8YEjEEJ1FRSfJw9mB8R+0tZnSb\n0fT8rCcpHYLwOJHMhY8/xjU2FnOH9tb9nSMiyN24UYujqSuKtp/rw9ITSwFwNbrSwbcD289vJ684\nj7T8NJwskhmrtzLg5NcApJm9eHjQY/QJcSXxkUfJXrECV2A2sCAnlVdCY3jHaS++y76jLI/qmakP\nAeAJJHi24FxgOK2cSzke2oE5AX24rZ7j3p2YSYcWnozvHcGbKw6TVVBCUlZhhWx4aw6l8MBn2wEY\n2rkFCybE1fu82CMlu5Dl+zRXikn9tfjQn03uTVZ+cb2Owd9ds+gM66IWVSkUVzpega5YSiQn96aR\nkZxHWIeKkSe8IyOAFIqlG6E+Z0nO9CX5pIEyD2OZd4Hc0o5EdvEhYW8G6ee0WbWD+deTbwjG7G6y\nZuO7GMweJnqPdvw6irKkJy7uRqL7Oz4FsELREHTr1o2EhAS++OILq49yGUOHDuX48eMsX76cZcuW\n0b17d/bqxkt7LhmNQbNXmHOKcnhy7ZO4Glx5pMcjte7v4ezBzls60X/wRLJXrMD37rsrbDe1DEEW\nFFCakYHR15ecdes4+9RMor5bginYvhL2+6Gl5Lz7ASFbEgid9zYte1zLqh/fps13m2j11zuZ2ftp\nfk34lV0pu7hn2T38retDzPzGQveTJygVThikBf+CLMYd+Z2sJUVkr1iB9x234zdhAvtvv5MH9v7I\nA3t/BMClWzci/+9TZFER55/7N07u7rzg3IWUwDC+flCzPhzecorEJXs4mZZXZ3eGg+eziD+dwazh\nHXExGvjg3jjufH8zB89n0UJP8/tj/Fne1CN3xIT78Ou+JLafvEDPVnWPU1odvx/UXEx+eeRaa6IS\ns8mA2WSoqVoVhnUJZu5dsdzcVYXrUiiudALDPUHAL+9q/o6VszCafb1xETkUSg88fYxYck+QcLg9\n126YR2leNoeOemLBRIsoXxL2li/2TiuJxGIMbLKL6fKytDThI6Z2o+VFRGtRXL3UxRLckIwePZoZ\nM2awZs0a0tLSKmzz8/Pj7rvv5u6772bkyJGsXbuWnj17NtJIq9Ls56yXnlhKfkk+C25cQLhn7WHS\nPJ09yRQFeI8aSdh/51qjY5Rh1Kfqis9qkRZyN22mND2dE7ffQdayZRX2zVq6lLw9e/hzzj9o9+tB\nPNILOPJPLUuU14sfcusmyb3OA3ExuDAkYggeBjdOJh8m7dNP6X5csjmkHbff/IK1vVuPrSPppZdx\n7dmTli+8gLlDBzzHjrNuTzV7s3zqCziZzRi8vAh98z8Ez/436y0+tGtR7q/bNUybktydWJ4xqiY2\nHUtj2FvatMjYOO0cdtD9f48m5zB87jqiZi3l0S93cTItjxujW/DFX3vjbHTi9vc2sf1kerVt14W9\niZl8u/0MoT6uRId4XVJbBifBmNhQ5Y6hUFwFtIjyYuJL/Qlpo93zjM5VX7A9DdrLuEdYOC1Mh8nO\nNrL7+81sXZ7IH/GdAPAJdsfoXH7POFnYk+MZHTDrsZGbGteObcc1o6Ksx61QNBcmTZrEs88+S9eu\nXSuU//777+TlaYl9srOzOXbsGBERF7dAtqFollrFkfQjFFuKWX5iOc9vfp5Ofp3oEtClTnXdTe5k\nF1cfMs0Uok1vlSnMhYc1i2ppWhqJjz2OLC21bk98/AlOjh3HLWvyrfUDjl/g9WV/J8uoJSVxW69N\nI7iZ3Fi0sTuL3iil85fbAHi951+4rmsYrRZ9RtKDMygJj9TaeGCKtb22s2bg/+rr5HToyvrrbuOn\n3ZrbgpSSTzacYMepdDLzi2kXVJ5et02gB0LA8ZScOp2Tn/UwbGaTkzXmsY+bM55mY4WYxkGeLkT4\nufH08I64ORsJ0Pe9/b2NHDyfhZRVM2/VhpSSkW+vZ2tCOiNjQi7K9UWhUFy9ePi6MObx7vS/oy1d\nBoZW2e7dWlvUbQ6JoM+4bhgoZEP2fezMvbVCG2VpywGKpbYWIu1s3e6hlxv/UA963Ryl7peKZkdY\nWJg1EoYt27dvJy4ujm7dutG3b1/uv/9+evXqZaeFxqPZuWTsSt7FhGUTGBQ2iD/P/0mkVySzes+q\n843D0+RJTlH1N0HnyEic3NzI+vFHXLvFkLdjBy4dO1J4UHOSz9y4Hu9+15K1bHmFeqV/GUPLcfeQ\nNGYsIx/7zlqeu2498tFHyfr5F4p+/wOA9dGCA+GCxU8Mp5W/G27ORgbFxcH0yZRmZ2PwLLcWC2dn\ngsaMJGjMSFYuO8Cx9QkUl1o4mpzDv38qT/Fta2E2mwyEeJk5lVaehnXa5zvIKyrhvXt6VnFzyCrQ\nlPsfK2XDC/VxtYZoe+SGtjx2Y/sK5/nNO2OZt/oo2xLSGfbWOiZfG8U/R0ZTH8r6Bpg+uH0NeyoU\nCoV9DAYna4KPykT178Sxw/tx93HB0PN+nL9ZQ36uxbq9s98WWkRej5uXM1mpBXT03cHB9B4AtO2h\nFtQpFI4gJ6eq3jVo0CAGDRoEwJNPPsmTTz5ZZZ/IyEirL7M9EmzyTDQ0zU5h/vLQlwCsObMGgOk9\np9M9qHud63s4e5CWlVbtdoOHO/5TppDy1ltkr1gJQIunn8YcG8PuvnGseuUROhf4IRPPk+5r4uNB\npTywwonO9z+MW0gY8sknram2hZsbBfv2cbCTpkQ6t2pFxKLP2Jm6gr4GE53suB/YKsuV6RjsSVGp\nhbs/2ExBsaXCNlsLM0CYnxtLdiaSmJHP+xPi+GXPOQAW7zjDX3q3qrDvidQcBrYPpH2Lin3nFZVn\nyZsysE2Vl5I+rf3p09qfx77axXc7E/lo/Ql+23+erx/oS4h39clGSi2Sr7edZvH2M9x1jfaQm3Nn\nDK52plMVCoXiUujQOxifFm4EtdLub4MmdGbZ/D0ARLpsYVDf8+AkMOmh6AI807nH8CCmh9diDlQK\ns0Kh0GgWCnN2UTaf7f+M29rdxv60/XTy68SBC1oYttjA2Hq11dKjJesT11NYWoiLwYXMwkw+3fcp\n14VdZ1W8/af8lfxdu8hZu5bgZ/+Je5/ebD2/ldVdLYzaUopEs7ruDi2hzS0T6PXyLGv7/pMnUZqT\nTeaPPxL52WekffwJ6YsWAdDiH89gCgzk7sC7qw6sDnQM1hTsrQkVfYavifIjyKviYpc2gR5sOXGB\nP09cYMpn26zlH607wcD2gYT5avGKpZScSMklzs7CvRBvM6cu5LHy8QF4uFT/U3l2ZDRSSr7fdZbT\nF/JZdySVcXH2/cl/3Xeez/88xdrDWkikbbr/c1l0C4VCoXA0LSLLjROtYwOZ8t+B7FpxivDWHaGt\nFlmj761t8PR1IfLav+JddC1Us8hboVBcnYiL8TttSOLi4uS2beUKXmZhJosOLGJ+/Hxr2YMxDzIo\nfBApeSkMCh9Ur/bXnlnLtFXTGBE1gkd7PMr7u99n8ZHFuBhceHXAqwyOGAyAtFiwZGVh8NFWID+0\n8iGOnN/HW3tj+SFpBYdDBQfDBKsm/4m7qWIkCiklSIlw0lzES3NyyV2/Ds+hQy/J56yoxEL7f5Qv\nPPx1+gC+2Xaa23uGVbFWJ2UVsP9sFo98sZPswhKCvcz0ivLjp3jNXznhlZsBSM4q4JqXVjF7TGfu\n7RtZoY3k7AKOJufQr03dMuiUlFro/vwKRnZrycu3da2yPS2nkN4vraLEIhkXF0ZaThGr9Mx+Sx+5\njuiWl7bgT6FQKBQKRUUOHDhAp06dGnsYTQJ750IIsV1KWWuM3CZpYX5/9/ssPryYs7lnq2xzM7rR\nN6Qvnf07w0XEgu8V3IswjzCWnlhqjZN8Q/gN7Ezeydwdc60Ks3BysirL+SX5bD63mfEdx9P5nieJ\nlpLlCctp7d26irIMWgIUbBRjg4c7XsOG1X+wlXA2lq/RXD1jEFEB7vyjGp/hFl5mWniZmX1LZ15f\nfojFD/Vj8fYz/FRpv+N6Nr8oO+HngjzN9UotbTQ40SPCt0LGQICNR1P5cutplu45R4lF8tKtXbm7\ndwQn03KtCnNAEw3fpFAoFAqFQtHkFOZT2ad4e+fbVcpnxM1gYueJl9y+q9GVL0d+ycazG4lPiScx\nO5EXr32Rrw59xVs73iIhMwFXoyst3Fvw7q53+e7od7gZ3Si2FNOvpRbnWAjB8KjhlzyWi+HJoR1I\nyymyq+Da49buYdzaXUs3OTomlDd+O1xh+/GU6hXmi2FwpyCe/WEfR5OzaRvkicUiufvDPyvsMypG\nC93Xyt+d27qHsmRnIn5uSmFWKBQKhULRNGlyCnN2UTY9PHrwQv8XWJu4lrHtxvLBng8Y236sw/rw\ndvFmeNTwCkpvzxZacOxR34/Cx8WHb0Z9w3vx71Wo1yu48UOcTLu+7UXXjfB346lhHXht+SEKiksx\nmwzsO5uJp4uRljUs0qsPw7oE89LSA8xbfYw5d8ZyIi23wvZlj16Hp7k8tunrY2P458hoFTdZoVAo\nFApFk6XJKcxmg5llty1DCEFcsOZSMrv/7Abvt7N/Z+vnjMIMnt3wLAD/6vsvfk34lV7BvXA2NH8r\naJklNy23iFAfV3aeyiAm3AenS0j/akuQp5lR3Vqy8kASUkr2nNGSp/z8t2sptcgqvtYGJ4Gve/M/\nrwqFQqFQKK5cmpxZL9wzvFGCsZsMJgJctcVtN7a6kU3nNgHQt2VfPrjpA6Z0m1JT9WZDWWKS1OxC\nHvtqF/vPZREX6evQPqJbepGeV0xKTiEHzmfhbHCiY7AnMeEqhatCoVAoFFcbQgieeOIJ6/c33niD\n5557DoDnnnuO0NBQYmNjrX8ZGRmsWbMGIQQfffSRtd7OnTsRQvDGG29c7kNoehbmxrTifjf6O0pk\nCSWWEnYl78LF4EKIe0ijjachKFOYNx5L47udiQDc1y/KoX100OM5P/OdFmy8lb+bcrlQKBQKheIq\nxcXFhSVLljBr1iwCAqpG3nrssceYMWNGlfKuXbvy1VdfMXnyZAC+/PJLYmJiGny89mhyCnNj4mMu\nt4CuuGMFAE7iylL0Qn01X+Vvtp8GYMPTN+DtZqqpSr2JCfchwMOZFfuTcBJwY3QLh7avUCgUCoWi\n/qz7+jCppx2b8j0g3IPrxtWcqddoNDJlyhTmzJnDiy++WOe2IyIiyMrKIikpiaCgIJYvX86IESMu\ndcgXxZWlDToQg5MBg9OVl3ku2MuMl9nI8ZRcQn1cCfVxzGI/W9xdjCx7dAAAFglRAR611FAoFAqF\nQnElM23aND7//HMyMzOrbJszZ47VHeP666+vsO2OO+7gm2++YePGjfTo0QMXl8ZJdKYszFcZQgg6\nBnuxJeECvRzsu2xLoKcLwzoHs3zfeW7vEdpg/SgUCoVCoagbtVmCGxIvLy/uvfde/vvf/+LqWtFY\nV51LBsC4ceO48847OXjwIOPHj2fjxo2XY7hVUBbmq5BbdQX2hk4N6yoxd3ws62deTzvdp1mhUCgU\nCsXVy/Tp0/noo4/Izc2tfWed4OBgTCYTK1asYPDgwQ04uppRFuarkPHXRDC0czC+DvZdroyL0UCY\nr1uD9qFQKBQKhaJ54Ofnx7hx4/joo4+YNGlSnevNnj2b5ORkDIbGc5VVFuarFD9350YJ36dQKBQK\nheLq5YknniA1NbVCma0Pc2xsLAkJCRW29+vXj1tuueUyjrIqQkrZqAOoTFxcnNy2bVtjD0OhUCgU\nCoWi2XPgwAE6derU2MNoEtg7F0KI7VLKuNrqKguzQqFQKBQKhUJRA0phVigUCoVCoVAoaqDBFGYh\nxOtCiINCiN1CiO+EECovskKhUCgUCsVlpqm53zYGl3oOGtLCvALoIqXsBhwGZjVgXwqFQqFQKBSK\nSpjNZtLS0q5qpVlKSVpaGmaz+aLbaLCwclLK32y+bgbuaKi+FAqFQqFQKBRVCQsL48yZM6SkpDT2\nUBoVs9lMWFjYRde/XHGYJwFfXaa+FAqFQqFQKBSAyWQiKiqqsYfR7LkkhVkIsRIItrPpGSnlD/o+\nzwAlwOc1tDMFmAIQERFxKUNSKBQKhUKhUCgcyiUpzFLKITVtF0JMBEYCg2UNzjNSyveB90GLw3wp\nY1IoFAqFQqFQKBxJg7lkCCGGATOBgVLKvIbqR6FQKBQKhUKhaEgaLNOfEOIo4AKk6UWbpZQP1qFe\nNnCoQQalcDQBQGqteykaGyWn5oOSVfNAyan5oGTVPGhMObWSUgbWtlOTS40thNhWlxSFisZHyap5\noOTUfFCyah4oOTUflKyaB81BTirTn0KhUCgUCoVCUQNKYVYoFAqFQqFQKGqgKSrM7zf2ABR1Rsmq\neaDk1HxQsmoeKDk1H5SsmgdNXk5NzodZoVAoFAqFQqFoSjRFC7NycGMrAAAMSklEQVRCoVAoFAqF\nQtFkUAqzQqFQKBQKhUJRA7UqzEKIcCHEaiHEASHEPiHEo3q5nxBihRDiiP7fVy/vKITYJIQoFELM\nqK2davocJoQ4JIQ4KoR42qZ8sBBihxBilxBivRCibTX1XxRCnBZC5FQqf1AIscemfnTtp6j54EBZ\nmYUQW4QQ8Xo7/66hz4l6u0f0zI5l5c5CiPeFEIeFEAeFELdXU7+nLpOjQoj/CiGEXv68EGK3Lqvf\nhBAtHXWeGhtHycmmPYMQYqcQ4uca+qxOTstt5DxfCGGopv7HQohkIcTeSuUx+tj2CCF+EkJ4Xex5\naYo4UlZCiASb+8+2Gvqs7v73sF4mhRABNdSPEkL8qY/tKyGEs17+uBBiv35drRJCtLrU89NUaCQ5\nVXdN2O3TTn278hRC+AohvtPltEUI0eVSzk1Tw8Gy8hFCfCu0Z8wBIUTfavq8VJ3C7nPKZvuM2q7L\n5oaj5CSE6KCf37K/LCHE9Gr6rE5OC4UQJ2zaiK2m/ud6/b369WnSy/+iX0+7hRAbhRAxF3VSpJQ1\n/gEhQA/9sydwGIgGXgOe1sufBl7VPwcBvYAXgRm1tWOnPwNwDGgNOAPxZfvpdTrpnx8CFlYz5j56\nfzmVyr1sPo8Gltd2/M3pz4GyEoCH/tkE/An0sdOfH3Bc/++rf/bVt/0beEH/7AQEVDPmLUBfvc9l\nwHA7snoEmN/Y57epycmmvceB/wE/V9NfTXLyspH5YuCuatoYAPQA9lYq34qWzRNgEvB8Y5/fpior\nIKG668Bmn5ruf92ByNraAb4ukyMwH5iqf74ecNM/TwW+auzz21zlpO9X3TVht0879e3KE3gd+Jf+\nuSOwqrHPbxOW1afA/fpnZ8DHTn+O0CnsPqf0beHAr8DJuvxumsufI+VUSRbn0RKF1EdOC4E76jDm\nEbqMBPAF5fe+fpQ/84YDf17MOanVwiylPCel3KF/zgYOAKHAGP3HWvajvUXfJ1lKuRUormM7lbkG\nOCqlPC6lLAK+1PsCkECZBcsbOFvNmDdLKc/ZKc+y+equt3fF4EBZSSllmXXepP/ZO1dDgRVSygtS\nynRgBTBM3zYJeFlvzyKlrJLBRwgRgqawbZLaL/n/bMZ2xcrKUXICEEKEATcDH9bQZbVysjnPRrSb\nlN3zLKVcC1yws6kDsFb/vAKwO5PQXHGkrOpItfc/KeVOKWVCTZV1y9cNwLd2xrZaSpmnl28Gwi5y\njE2ORpBTTdeE3T7t1K9OntHAKn2fg0CkEKLFxY6zqeEoWQltNmsA8JG+X5GUMsNOl5ekU9T0nNKZ\nAzzFFfSMgga7pgYDx6SUJ+1sq0lOdR3zUl1/kWgvOWF6+Ub92QeXcO+rlw+zECIS7a34T6BFmVKq\n/w+6yHYqEwqctvl+hnLF+n5gqRDiDDABeKU+49f7niaEOIb2lvRIfes3Fy5VVkKb5t8FJKMpW3WW\nlRDCR//+vD7d9U01N/xQvU6F+jZjeFEIcRr4C/BsbWNujjjgmnoL7WZtqWGfmq4phBC/osk5m3JF\nq67sRZutARiLZm25InGArCTwmxBiuxBiSjX71CirOuAPZEgpS2qpPxnNUnbFcZnkVBMX/WzUiQdu\nAxBCXAO04gp6ubHlEmXVGkgBPhGaS9qHQgh3O/tdqk5R7XNKCDEaSJRSxtcy1maNo3Q/4C40y689\narv3vai7VMwRQrjUMl4TmjyX29l80fe+OivMQggPtCnb6ZWsf/WiDu0IO2Vlb26PASOklGHAJ8Cb\n9e1fSjlPStkGmAn8o771mwOOkJWUslRKGYt2o76mGj+66mRl1OttkFL2ADYBb9SjftkYnpFShgOf\nAw/X8xCaPJcqJyHESCBZSrm9tl3tlNme56Fo028uaNbJ+jAJmCaE2I42bVdUz/rNAgfd//rr18Nw\ntHM2wF5XdsrqY7mqtb4Q4h4gDm3q/4riMsqpIXkF8NUNFn8DdgIlNVdpfjhAVkY0l5j3pJTdgVw0\nF4EqXdkpq49OYbe+EMINeIYr1JhThgN1P2c048o31e1ip6xMTrPQ3JN6obkWzqylu3eBtVLKdZXG\ncD2awlxbfbvUSWHWtfXFwOdSyiV6cZI+VVE2ZZF8Me3ojuVljtwPor1V2FqpwoCzQohAIMbG0vkV\n0K/MEqr/za7L8eh8STVTZc0ZR8mqDH2Kaw0wTAjR2+Zcj6YaWQFpQB7wnV7+DdDDjqzOUNFyUla/\nMv/jCpvqd5Cc+gOjhRAJaL/nG4QQi+ohJytSygLgR2CMnWuyWqSUB6WUN0kpe6JZDo7V4fCbFY66\npqSUZ/X/yWjXxjV1vf/VMr5f9fofAqmAjxDCaK++EGII2kN+tJSysLYxNycus5xqwm6fleRUU/9Z\nUsr7dIPFvUAgcKK2cTcnHCSrM8AZG53gW7TnjKN1iuqeU22AKCBevweHATuEEMH1PB1NFgfrE8OB\nHVLKJL1une99unuI1O9Zn6C5b9i9poQQ/0K7Zh6vdCzd0FwXx0gp0+p+Fsox1raDEEKg+QgdkFLa\nvn39CExEexueCPxwMe1IKU8DsTb7GYF2QogoIBHNhH83kA54CyHaSykPAzfqbZXa1q9lDO2klEf0\nrzcDR2rav7nhQFkFAsVSygwhhCswBM2x/08qysoPeEmUrwK/CZglpZRCiJ+AQcDvaH5L++3JSgiR\nLYTogzbVcy/wtl5uK6vRwMF6nYwmjKPkJKWchfbmjRBiENpCi3v0zbXKSbcceEopz+nX3QhgXeVr\nspZjCZJSJgshnNBmbObXpV5zwYHXlDvgJKXM1j/fBMyux/2vWvQZAtu+VgN3oL1EWccmhOgOLACG\n6crgFcPlllMt2O2zspxqGIMPkKf7cd6PZim7aMteU8OB97/zQouG1UFKeYjy54zDdQp7zykp5R5s\n3BF0pTlO2lmv0xxxlJxsGI+NO0Z97n1CiBD9OSXQDJ179TYq3/vuR1uzM1hKabEpjwCWABN0WV8c\nsvZVh9eimcV3A7v0vxFovnKr0JTOVYCfvn8w2ptCFpChf/aqrp1q+hyBtiLzGPCMTfmtwB40H681\nQOtq6r+m92vR/z+nl88F9ul9rwY613b8zenPgbLqhjYNuBvth/lsDX1OAo7qf/fZlLdCWwy2W+8z\nopr6cXofx4B3wJp9crFevhv4CQht7PPb1ORUqc1BVBMlozo5AS3Qolzs1q+LtwFjNfW/AM6hLeg4\nA0zWyx/Vr9XDaDdQ0djntynKCs3fMl7/24fNfc1On9Xd/x7R2ytBs7x8WE391mgLXo6ize646OUr\ngSSb4/ixsc9vM5dTddeE3T7t1LcrT7RoDEfQjARL0Ff3Xyl/jpKVvi0W2Ka39X1156qGa6quOoXd\n51SlfRK4sqJkOFJObmgzz9619FmdnH7X5bQXWIQexctO/RK9btl4n9XLP0R7QSor33Yx50SlxlYo\nFAqFQqFQKGpAZfpTKBQKhUKhUChqQCnMCoVCoVAoFApFDSiFWaFQKBQKhUKhqAGlMCsUCoVCoVAo\nFDWgFGaFQqFQKBQKhaIGlMKsUCgUTRQhRKkemH+fECJeCPG4HvO6pjqRQogaYzcrFAqFon4ohVmh\nUCiaLvlSylgpZWe0xAojgH/VUieSWpKdKBQKhaJ+qDjMCoVC0UQRQuRIKT1svrdGSzYTgJYc6DPA\nXd/8sJRyoxBiM9AJLZ3yp8B/0ZLKDAJcgHlSygWX7SAUCoXiCkApzAqFQtFEqaww62XpQEcgG7BI\nKQuEEO2AL6SUcTZp0kfq+08BgqSULwghXIANwFgp5YnLejAKhULRjDE29gAUCoVCUS+E/t8EvCOE\niAVKgfbV7H8T0E0IcYf+3Rtoh2aBVigUCkUdUAqzQqFQNBN0l4xSIBnNlzkJiEFbj1JQXTXgb1LK\nXy/LIBUKheIKRC36UygUimaAECIQmA+8IzVfOm/gnJTSAkwADPqu2YCnTdVfgalCCJPeTnshhDsK\nhUKhqDPKwqxQKBRNF1chxC4094sStEV+b+rb3gUWCyHGAquBXL18N1AihIgHFgJz0SJn7BBCCCAF\nuOVyHYBCoVBcCahFfwqFQqFQKBQKRQ0olwyFQqFQKBQKhaIGlMKsUCgUCoVCoVDUgFKYFQqFQqFQ\nKBSKGlAKs0KhUCgUCoVCUQNKYVYoFAqFQqFQKGpAKcwKhUKhUCgUCkUNKIVZoVAoFAqFQqGogf8P\nfSpppLi+ZrYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10538e860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_stocks.plot(figsize=(12, 5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generating Synthetic data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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QQgjRR5hrmcdH+3bpdfdeMtBy/+X5w62ei/Zr39auMxzt9JZBLCPlokJxHpJM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\n/webWZuG8cOQVwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11c0f7940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 1000\n",
    "D = 3\n",
    "\n",
    "Q = np.random.randn(D, D)\n",
    "Σ = Q.dot(Q.T)\n",
    "\n",
    "e = np.random.randn(N, D)\n",
    "e = e.dot(Σ)\n",
    "\n",
    "y2 = np.cumsum(e, axis=0)\n",
    "plt.figure(figsize=(12, 5))\n",
    "plt.plot(y2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Inference Process"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def inference(y, t, window=365, n_samples=100):\n",
    "    N, D = y.shape\n",
    "\n",
    "    t_section = np.int64(np.arange(len(y)))//window\n",
    "    k = t_section.max()+1\n",
    "\n",
    "    t_t = theano.shared(np.repeat(t[:,np.newaxis], D, axis=1))\n",
    "    y_t = theano.shared(y)\n",
    "    t_section_t = theano.shared(t_section)\n",
    "\n",
    "    with pm.Model() as model:\n",
    "        sd_α = pm.HalfCauchy.dist(beta=0.5)\n",
    "        packed_L_α = pm.LKJCholeskyCov('packed_L_α', n=D, eta=2., sd_dist=sd_α)\n",
    "        L_α = pm.expand_packed_triangular(D, packed_L_α)\n",
    "        Σ_α = pm.Deterministic('Σ_α', L_α.dot(L_α.T))\n",
    "\n",
    "        μ_β = pm.Bound(pm.Normal, lower=0, upper=1)('μ_β', sd=0.5, shape=D)\n",
    "        sd_β = pm.HalfCauchy.dist(beta=0.5)\n",
    "        packed_L_β = pm.LKJCholeskyCov('packed_L_β', n=D, eta=2., sd_dist=sd_β)\n",
    "        L_β = pm.expand_packed_triangular(D, packed_L_β)\n",
    "        Σ_β = pm.Deterministic('Σ_β', L_β.dot(L_β.T))\n",
    "\n",
    "        α = pm.MvGaussianRandomWalk('alpha', shape=(k+1, D), cov=Σ_α)\n",
    "        β = pm.MvGaussianRandomWalk('beta', shape=(k+1, D), mu=μ_β, cov=Σ_β)\n",
    "        alpha_r = α[t_section_t]\n",
    "        beta_r = β[t_section_t]\n",
    "        regression = alpha_r+beta_r*t_t\n",
    "\n",
    "        sd = pm.Uniform('sd', 0, 1)\n",
    "        likelihood = pm.Normal('y', mu=regression, sd=sd, observed=y_t)\n",
    "        trace = pm.sample(n_samples, njobs=4)\n",
    "\n",
    "    return trace, t_section"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "t = np.arange(len(df_stocks))\n",
    "t = (t-t.mean())/t.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using ADVI...\n",
      "Average Loss = 958.49:  23%|██▎       | 45486/200000 [01:11<04:05, 630.09it/s]\n",
      "Convergence archived at 45500\n",
      "Interrupted at 45,500 [22%]: Average Loss = 3,598.7\n",
      " 52%|█████▏    | 517/1000 [34:42<40:51,  5.08s/it]/Users/sachin/anaconda/lib/python3.5/site-packages/pymc3/step_methods/hmc/nuts.py:440: UserWarning: The acceptance probability in chain 1 does not match the target. It is 0.0987759649542, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "  % (self._chain_id, mean_accept, target_accept))\n",
      "/Users/sachin/anaconda/lib/python3.5/site-packages/pymc3/step_methods/hmc/nuts.py:456: UserWarning: Chain 1 contains 499 diverging samples after tuning. If increasing `target_accept` does not help try to reparameterize.\n",
      "  % (self._chain_id, n_diverging))\n",
      "100%|██████████| 1000/1000 [1:00:08<00:00,  3.71s/it]/Users/sachin/anaconda/lib/python3.5/site-packages/pymc3/step_methods/hmc/nuts.py:448: UserWarning: Chain 0 reached the maximum tree depth. Increase max_treedepth, increase target_accept or reparameterize.\n",
      "  'reparameterize.' % self._chain_id)\n",
      "/Users/sachin/anaconda/lib/python3.5/site-packages/pymc3/step_methods/hmc/nuts.py:440: UserWarning: The acceptance probability in chain 0 does not match the target. It is 0.595800000285, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "  % (self._chain_id, mean_accept, target_accept))\n",
      "/Users/sachin/anaconda/lib/python3.5/site-packages/pymc3/step_methods/hmc/nuts.py:456: UserWarning: Chain 0 contains 189 diverging samples after tuning. If increasing `target_accept` does not help try to reparameterize.\n",
      "  % (self._chain_id, n_diverging))\n",
      "\n",
      "/Users/sachin/anaconda/lib/python3.5/site-packages/pymc3/step_methods/hmc/nuts.py:448: UserWarning: Chain 2 reached the maximum tree depth. Increase max_treedepth, increase target_accept or reparameterize.\n",
      "  'reparameterize.' % self._chain_id)\n",
      "/Users/sachin/anaconda/lib/python3.5/site-packages/pymc3/step_methods/hmc/nuts.py:440: UserWarning: The acceptance probability in chain 2 does not match the target. It is 0.630240798933, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "  % (self._chain_id, mean_accept, target_accept))\n",
      "/Users/sachin/anaconda/lib/python3.5/site-packages/pymc3/step_methods/hmc/nuts.py:456: UserWarning: Chain 2 contains 22 diverging samples after tuning. If increasing `target_accept` does not help try to reparameterize.\n",
      "  % (self._chain_id, n_diverging))\n",
      "/Users/sachin/anaconda/lib/python3.5/site-packages/pymc3/step_methods/hmc/nuts.py:448: UserWarning: Chain 3 reached the maximum tree depth. Increase max_treedepth, increase target_accept or reparameterize.\n",
      "  'reparameterize.' % self._chain_id)\n",
      "/Users/sachin/anaconda/lib/python3.5/site-packages/pymc3/step_methods/hmc/nuts.py:456: UserWarning: Chain 3 contains 9 diverging samples after tuning. If increasing `target_accept` does not help try to reparameterize.\n",
      "  % (self._chain_id, n_diverging))\n"
     ]
    }
   ],
   "source": [
    "trace, t_section = inference(df_stocks.values, t, n_samples=500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a_mean = trace['alpha'][-1000:].mean(axis=0)\n",
    "b_mean = trace['beta'][-1000:].mean(axis=0)\n",
    "\n",
    "y_pred = a_mean[t_section] + b_mean[t_section]*t[:,None]\n",
    "\n",
    "# Un-normalise the data\n",
    "y_pred = y_pred*y_std[None,:] + y_mean[None,:]\n",
    "y = df_stocks.values*y_std[None,:] + y_mean[None,:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "dates = np.array([np.datetime64(d) for d in df_stocks.index])\n",
    "stocks = df_stocks.columns.values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
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MASDcYubC0fod8mMsbe5yEiQLIYQQQhwniiv11faiggNadHxsaCAAuWXWhjsPrIAXR8EX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\nFkIIIYQQohUJkoUQQgghhGjl/wPm83ioV42EgAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x128f189e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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V5+GP1/D83C3B942dSb5kWLdmG6c0j6aUWxwDzLfWlltrPcBXwAXAecC0QJ9p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\nECePpDA9jEgMw+ZQLFp31P1tPSXCWW7R0LEg2XWK80fn9XdfZzIYGJE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      "text/plain": [
       "<matplotlib.figure.Figure at 0x124c4fa20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ai4AlQKG11hu4LBOozZDvA+wI3OsNXK8q3SIiItJhMgvKWRpoZR0T5mpT8Gyt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\n1vowQgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11c1a95c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Iy9iRXoRhwJjESOwOF063ydFiO8V2JwDrD+Zjw8HIig3w+T9hw4uACcMugnlPQHjdrhLB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      "text/plain": [
       "<matplotlib.figure.Figure at 0x12928f3c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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GFjDTMIyl9X2CUPB8MUDPnj0bscTmER0Mxzl3EQwD7H0sHHAZzP4/2LoYJn8GtuqPsWvo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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e4abba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i, stock in enumerate(stocks):\n",
    "    plt.figure(figsize=(12,5))\n",
    "    plt.plot(dates, y[:, i], label=stock)\n",
    "    plt.plot(dates, y_pred[:, i], label=\"trend\")\n",
    "    plt.legend()\n",
    "    plt.title(stock.capitalize())\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FAJQkkkKPCUBRskY2igOwtpQ6+e2M4XKh7bcl/U/NzW6QNHCv4IK0qd421Sq1q95x1fqL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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12a157dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(trace['Σ_β'][1000:].mean(axis=0))\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7NkknkhypXcs0moXgOS5p15rPOyW9XamWuWN7s4ah84MkP6pdTxNJ3pN0SNM9lrZX0u22\n39JweGCf7YfrljQ9ZiF4XpD0WdvX2r5U0h2Snqhc01ywbUnfk3QsyXdq1zOO7atsbx/9vFXSzZJe\nrVvV+pLcl2Rnkt0a/j/7dJK7Kpc1NaY+eJKsSPqapKc0HPx8LMkrdatan+1HJD0n6Xrbx23fXbum\nMfZK+qqG/xq/NDpuqV3UOq6W9Iztoxr+Y3QwCY+oZxQzlwEUN/UtHgDzh+ABUBzBA6A4ggdAcQQP\ngOIIHgDFETwAiiN4ABT3/yhtbgIVvxb6AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12a361128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(trace['Σ_β'][1000:].std(axis=0))\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Correlation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['AAPL', 'ALB', 'GOOG', 'MSFT', 'NEM'], dtype=object)"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stocks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "trace_sigma2 = np.zeros_like(trace['Σ_β'][1000:])\n",
    "for i,t in enumerate(trace['Σ_β'][1000:]):\n",
    "    t_diag = np.sqrt(t.diagonal())\n",
    "    trace_sigma2[i] = (t/t_diag[:,None])/t_diag[None,:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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l4klJfwL8Xqd48iga0WQL845tAthcLm8G7p99gKSlwF8Cf2r7z2ftW1H+FMX7uac73TCJ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11e9222e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(trace_sigma2.mean(axis=0))\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "NEM and ALB have a correlation of 0.5 (as expected)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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urZP0kKT/kvTPdUJPUzGiyep3zq+UNNF2PGZ7rNqfq+Y0u+D57nkSON32HyX9E/BDSW+z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\nHxWCwdyy3a1BAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12b935400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(trace_sigma2.std(axis=0))\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  },
  "latex_envs": {
   "bibliofile": "biblio.bib",
   "cite_by": "apalike",
   "current_citInitial": 1,
   "eqLabelWithNumbers": true,
   "eqNumInitial": 0
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
